[1] C. Bota, B. Caruntu, and C. Lazureanu, The least square homotopy perturbation method for boundary value problems, Applied and Computational Mathematics, 16(1) (2017), 39–47.
[2] J. R. Cannon, D. J. Galiffa, and et al., A numerical method for a nonlocal elliptic boundary value problem, Journal of Integral Equations and Applications, 20(2) (2008), 243–261.
[3] J. R. Cannon and D. J. Galiffa, On a numerical method for a homogeneous, nonlinear, nonlocal, elliptic boundary value problem, Nonlinear Analysis: Theory, Methods & Applications, 74(5) (2011), 1702–1713.
[4] Y. Cherruault, Convergence of Adomian’s method, Kybernetes, 18(2) (1989), 31–38.
[5] M. Dehghan, J. M. Heris, and A. Saadatmandi, Application of semi-analytic methods for the Fitzhugh–Nagumo equation, which models the transmission of nerve impulses, Mathematical Methods in the Applied Sciences, 33(11) (2010), 1384–1398.
[6] M. Dehghan, J. Manafian, and A. Saadatmandi, Solving nonlinear fractional partial differential equations using the homotopy analysis method, Numerical Methods for Partial Differential Equations: An International Journal, 26(2) (2010), 448–479.
[7] M. Dehghan, J. Manafian, and A. Saadatmandi, The solution of the linear fractional partial differential equations using the homotopy analysis method, Zeitschrift f¨ur Naturforschung-A, 65(11) (2010), 935.
[8] S. Khuri and A.-M. Wazwaz, A variational approach for a class of nonlocal elliptic boundary value problems, Journal of Mathematical Chemistry, 52(5) (2014), 1324–1337.
[9] S. Liao and Y. Tan, A general approach to obtain series solutions of nonlinear differential equations, Studies in Applied Mathematics, 119(4) (2007), 297–354.
[10] S. Liao, Series solution of nonlinear eigenvalue problems by means of the homotopy analysis method, Nonlinear Analysis: Real World Applications, 10(4) (2009), 2455–2470.
[11] A. Luongo, G. Piccardo, Non-linear galloping of sagged cables in 1: 2 internal resonance, Journal of Sound and Vibration, 214(5) (1998), 915–940.
[12] A. Luongo and G. Piccardo, A continuous approach to the aeroelastic stability of suspended cables in 1: 2 internal resonance, Journal of Vibration and Control, 14(1-2) (2008), 135–157.
[13] M. Mesrizadeh and K. Shanazari, Stability and numerical approximation for a spacial class of semilinear parabolic equations on the Lipschitz bounded regions: Sivashinsky equation, Computational Methods for Differential Equations, 7(4) (2019), 589–600.
[14] B. N. Saray and J. Manafian, Sparse representation of delay differential equation of Pantograph type using multi wavelets Galerkin method, Engineering Computations, 35(2) (2018), 887–903.
[15] M. Shahriari, B. N. Saray, M. Lakestani, and J. Manafian, Numerical treatment of the BenjaminBona-Mahony equation using Alpert multiwavelets, The European Physical Journal Plus, 133(5) (2018), 201.
[16] R. Singh, Optimal homotopy analysis method for the non-isothermal reaction–diffusion model equations in a spherical catalyst, Journal of Mathematical Chemistry, 56 (2018), 2579–2590.
[17] R. singh, G. Nelakanti, and J. Kumar, A new efficient technique for solving two-point boundary value problems for integro-differential equations, Journal of Mathematical Chemistry, 52(8) (2014), 2030–2051.
[18] R. Singh, G. Nelakanti, and J. Kumar, Approximate solution of two-point boundary value problems using Adomian decomposition method with Green’s function, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 85(1) (2015), 51–61.
[19] R. Sta´nczy, Nonlocal elliptic equations, Nonlinear Analysis: Theory, Methods & Applications, 47(5) (2001), 3579–3584.
[20] W. Themistoclakis and A. Vecchio, On the numerical solution of some nonlinear and nonlocal boundary value problems, Applied Mathematics and Computation, 255 (2015), 135–146.
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